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541142411205 = 351129113091413
BaseRepresentation
bin1111101111111101001…
…10011110011111000101
31220201210010220202022010
413313332212132133011
532331224424124310
61052333011524433
754045004413144
oct7677646363705
91821703822263
10541142411205
11199551868a30
1288a635b9719
133c04cab01a6
141c29740d75b
15e122a7c320
hex7dfe99e7c5

541142411205 has 32 divisors (see below), whose sum is σ = 977109816960. Its totient is φ = 253324762880.

The previous prime is 541142411177. The next prime is 541142411237. The reversal of 541142411205 is 502114241145.

It is not a de Polignac number, because 541142411205 - 213 = 541142403013 is a prime.

It is a super-2 number, since 2×5411424112052 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56540922 + ... + 56550491.

It is an arithmetic number, because the mean of its divisors is an integer number (30534681780).

Almost surely, 2541142411205 is an apocalyptic number.

541142411205 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541142411205 is a deficient number, since it is larger than the sum of its proper divisors (435967405755).

541142411205 is a wasteful number, since it uses less digits than its factorization.

541142411205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113091461.

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 541142411205 in words is "five hundred forty-one billion, one hundred forty-two million, four hundred eleven thousand, two hundred five".

Divisors: 1 3 5 11 15 29 33 55 87 145 165 319 435 957 1595 4785 113091413 339274239 565457065 1244005543 1696371195 3279650977 3732016629 6220027715 9838952931 16398254885 18660083145 36076160747 49194764655 108228482241 180380803735 541142411205